Quantization with action-angle coherent states

Jean Pierre Gazeau, Rina Kanamoto

Research output: Contribution to journalConference article

2 Citations (Scopus)

Abstract

For a single degree of freedom confined mechanical system with given energy, we know that the motion is always periodic and action-angle variables are convenient choice as conjugate phase-space variables. We construct action-angle coherent states in view to provide a quantization scheme that yields precisely a given observed energy spectrum {En} for such a system. This construction is based on a Bayesian approach: each family corresponds to a choice of probability distributions such that the classical energy averaged with respect to this probability distribution is precisely En up to a constant shift. The formalism is viewed as a natural extension of the Bohr-Sommerfeld rule and an alternative to the canonical quantization. In particular, it also yields a satisfactory angle operator as a bounded self-adjoint operator.

Original languageEnglish
Article number012038
JournalJournal of Physics: Conference Series
Volume343
DOIs
Publication statusPublished - 1 Jan 2012
Event7th International Conference on Quantum Theory and Symmetries, QTS7 - Prague, Czech Republic
Duration: 7 Aug 201113 Aug 2011

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